OK, so if love is unconditional, then what about situations where you love them but they hate you? If it's unconditional love, then you love them regardless of their feelings towards you.
What do you do if your kid is an actual psychopath and doesn't love you. Do you still love them unconditionally? Would you trust them with the keys to the gun safe?
What do you do if you have an adult child that has made some really bad life choices and is spiraling out of control addicted to hard drugs? Do you still love them (unconditional, right)? Do you trust them with the keys to your alcohol cabinet? The details to your bank account?
Love != trust.
There are some situations where if you truly love someone you do not extend them trust (because they will abuse it regardless of your love for them).
The case of mental imparemeent is interesting and I had not considered it. It would be possible to argue that the person isn't there anymore if they're crazy, and there needs to be someone to exercise love against. I'm not sure.
Also, maybe persons with mental illnesses could be trusted more in our society.